The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1  0  1  1 X^2+X  1  1  1 X^2  1  X  1  1  1  1 X^2  X  1  1  1  1  1  1  1  1 X^2  X X^2  X  X  X  X  0  X  X  X  0  0  1  1  1  1  X  X X^2  X  X  1
 0  1 X+1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+1  1  0 X+1  1 X^2+X X^2+1  1 X^2  X X^2+X+1  1  1  1 X^2  X X^2+X+1  1  1  1 X^2  X X^2  X X^2+X+1  1 X^2+X+1  1  1  1  1  1  0 X^2+X  0  X  0 X^2+X X^2+X  X  X  0 X^2  0 X^2  X X^2  X X^2+X  X X^2+1
 0  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0
 0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2  0

generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+92x^65+17x^66+32x^67+30x^68+58x^69+14x^70+1x^72+8x^73+1x^74+2x^77

The gray image is a linear code over GF(2) with n=268, k=8 and d=130.
This code was found by Heurico 1.16 in 0.146 seconds.